x+3=x-3(x-3+16)

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Solution for x+3=x-3(x-3+16) equation:


Simplifying
x + 3 = x + -3(x + -3 + 16)

Reorder the terms:
3 + x = x + -3(x + -3 + 16)

Reorder the terms:
3 + x = x + -3(-3 + 16 + x)

Combine like terms: -3 + 16 = 13
3 + x = x + -3(13 + x)
3 + x = x + (13 * -3 + x * -3)
3 + x = x + (-39 + -3x)

Reorder the terms:
3 + x = -39 + x + -3x

Combine like terms: x + -3x = -2x
3 + x = -39 + -2x

Solving
3 + x = -39 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
3 + x + 2x = -39 + -2x + 2x

Combine like terms: x + 2x = 3x
3 + 3x = -39 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 3x = -39 + 0
3 + 3x = -39

Add '-3' to each side of the equation.
3 + -3 + 3x = -39 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = -39 + -3
3x = -39 + -3

Combine like terms: -39 + -3 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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